Math practice for 13 year olds - page 52 of 364
Number of problems found: 7272
- Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly.
- Increase 82151
Increase 380 by 28%
- Supply 82149
The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days?
- Determine 82148
If we reduce the unknown number by 24%, we get the number 358. Determine the unknown number.
- Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Determine 82143
Determine the size of the interior angles in an isosceles triangle if you know that the angle opposite the base is 15° greater than the angles at the base.
- Fifteen 82121
The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now?
- Rectangle 82087
A 9cm × 15cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares?
- Appliance 82079
The voltage at the terminals of the appliance is 4.5 V. A current of 0.5A passes through the appliance. What voltage must the appliance have if a current of 0.7A is to pass through it?
- Calculate 82078
The volume of a cube is 0.512 m³. Calculate its surface area.
- Calculate 82073
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- Borrowed 82069
You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum?
- Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius?
- Suspicion 82035
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
- Together sewing
Eva sews a costume in 6 hours, Ivana in 8 hours, and Monika in 4 hours. How long will it take them to make the costume if they work together?
- Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
- Nationalities 81998
In the popular Italian resort of Caorle, there are only 4 nationalities. The resort has 3/20 Germans, 2/5 Czechs, 1/4 Austrians, and 500 Brits. How many tourists are there in total at the resort?
- Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position.
- Diameter of barrel
A garden barrel that is 1 m high has a base with a diameter of 80 cm. How many liters of water can fit in the barrel?
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